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Finding the Fourth Proportional to 3,557.65, 5,335.86 and 1,609.40

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Solution

The fourth proportional to 3,557.65, 5,335.86 and 1,609.40 is: 2,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.65 : 5,335.86 = 1,609.40 : x
  2. Step 2: Convert to fraction form
    3,557.65/5,335.86 = 1,609.40/x
  3. Step 3: Cross multiply
    3,557.65x = 5,335.86 × 1,609.40
  4. Step 4: Simplify right side
    3,557.65x = 8,587,533.08
  5. Step 5: Solve for x
    x = 8,587,533.08/3,557.65
  6. Step 6: Final answer
    x = 2,413.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.